Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the distance between -25 and 15 on a number line? □ units

Question

what is the distance between -25 and 15 on a number line?
□ units

Explanation:

Step1: Recall distance formula on number line

The distance between two numbers \(a\) and \(b\) on a number line is given by \(|a - b|\) (or \(|b - a|\), since absolute value is symmetric).

Step2: Substitute values

Here, \(a=-25\) and \(b = 15\). So we calculate \(| - 25-15|\) (or \(|15 - (-25)|\)). First, simplify the expression inside the absolute value: \(-25-15=-40\) (or \(15 + 25 = 40\)). Then take the absolute value: \(|-40| = 40\) (or \(|40|=40\)).

Answer:

40